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430141141203224 = 231131149103320081
BaseRepresentation
bin110000111001101100000100…
…1111011001011100100011000
32002102000002110201000212220012
41201303120021323023210120
5422334413024122000344
64122500040132021052
7156413446315633133
oct14163301173134430
92072002421025805
10430141141203224
111150689194a8750
12402b0299a61788
131560219bac8069
147830d29a0921a
1534ade58ded29e
hex1873609ecb918

430141141203224 has 64 divisors (see below), whose sum is σ = 882683934612480. Its totient is φ = 194885445184000.

The previous prime is 430141141203223. The next prime is 430141141203227. The reversal of 430141141203224 is 422302141141034.

It is a super-2 number, since 2×4301411412032242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430141141203223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343690864 + ... + 1344010944.

It is an arithmetic number, because the mean of its divisors is an integer number (13791936478320).

Almost surely, 2430141141203224 is an apocalyptic number.

430141141203224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

430141141203224 is an abundant number, since it is smaller than the sum of its proper divisors (452542793409256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430141141203224 is a wasteful number, since it uses less digits than its factorization.

430141141203224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369512 (or 369508 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 430141141203224 its reverse (422302141141034), we get a palindrome (852443282344258).

The spelling of 430141141203224 in words is "four hundred thirty trillion, one hundred forty-one billion, one hundred forty-one million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 311 622 1244 2488 3421 6842 13684 27368 49103 98206 196412 320081 392824 540133 640162 1080266 1280324 2160532 2560648 3520891 4321064 7041782 14083564 15271033 28167128 30542066 61084132 99545191 122168264 167981363 199090382 335962726 398180764 671925452 796361528 1094997101 1343850904 2189994202 4379988404 8759976808 15716937343 31433874686 62867749372 125735498744 172886310773 345772621546 691545243092 1383090486184 4887967513673 9775935027346 19551870054692 39103740109384 53767642650403 107535285300806 215070570601612 430141141203224